Respuesta :

Answer:

3rd option

Step-by-step explanation:

the explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{-4}[/tex] = - 3 , then

[tex]a_{n}[/tex] = - 4 [tex](-3)^{n-1}[/tex]

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